9830915014041 has 351 divisors, whose sum is σ = 17999531077423. Its totient is φ = 5363841098880.

The previous prime is 9830915014027. The next prime is 9830915014061. The reversal of 9830915014041 is 1404105190389.

The square root of 9830915014041 is 3135429.

It is a perfect power (a square), and thus also a powerful number.

9830915014041 is a `hidden beast` number, since 98 + 3 + 0 + 9 + 150 + 1 + 404 + 1 = 666.

9830915014041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7653826568025 + 2177088446016 = 2766555^2 + 1475496^2 .

It is not a de Polignac number, because 9830915014041 - 2²⁷ = 9830780796313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9830915014061) by changing a digit.

It is a polite number, since it can be written in 350 ways as a sum of consecutive naturals, for example, 427431087556 + ... + 427431087578.

Almost surely, 2^{9830915014041} is an apocalyptic number.

9830915014041 is the 3135429-th square number.

9830915014041 is the 1567715-th centered octagonal number.

It is an amenable number.

9830915014041 is a deficient number, since it is larger than the sum of its proper divisors (8168616063382).

9830915014041 is an frugal number, since it uses more digits than its factorization.

9830915014041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 9830915014041 in words is "nine trillion, eight hundred thirty billion, nine hundred fifteen million, fourteen thousand, forty-one".